Chapter 5 Polynomials and Polynomial Functions - 5.5 Apply the Remainder and Factor Theorems - 5.5 Exercises - Mixed Review - Page 368: 47

The solution is $(1,4)$.

Given: $x-4y \lt 5$ Substitute $(1,4)$: $1-4.4 \lt 5$ $1-16\lt5$ $-15 \lt 5 \rightarrow$ True Substitute $(4,-1)$: $4-4(-1) \lt 5$ $4+4\lt8$ $8 \lt 5 \rightarrow $ False Hence, the solution is $(1,4)$.